9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
help please , i will give out brianlist
Answer: B
Step-by-step explanation:
Which of the following means a study used a bivariate correlational design?
a. presence of measured variables
b. use of correlational stats
c. inclusion of quantitative variables
d. depiction of bar graph
among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.
A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.
The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.
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Sonequa has two containers one in the shape of a cylinder and the other in the shape of a cone the two containers of equal radii and equal Heights she investigated the relationship between the volume of the cone and the cylinder by transferring water between the two containers which of the following claims is most likely to be supported using the result of sonequa investigation
Answer:35
Step-by-step explanation:
The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.
The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.
So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”
I'm not good at time questions can someone help me?
Randy should begin his homework by 07:10 in order to sleep by 10:00
How to determine the time to start the homework?The given parameters are:
Social studies = 45 minutesScience = 40 minutesMath = 1 hour and 15 minutesBed preparation = 10 minutesIf the above activities are done, the time spent would be:
Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes
Add the time
Time = 2 hour and 50 minutes
He wants to go to bed by 10:00.
So, the time to begin his homework is:
Begin = 10:00 - 2 hour and 50 minutes
Evaluate the difference
Begin = 07:10
Hence, Randy should begin his homework by 07:10
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A solution containing 30% juice is mixed with a solution containing 10% juice to make 100 gallons of solution that makes 12% juice.How much of the 30% solution was used
Let the amount of the 30% solution be x gallons.
Then the amount of the 10% solution is (100 - x) gallons.
The amount of juice in the 30% solution is 0.3x gallons.
The amount of juice in the 10% solution is 0.1(100 - x) gallons.
When the two solutions are mixed, we get 100 gallons of a 12% juice solution, which means:
0.3x + 0.1(100 - x) = 0.12(100)
Simplifying this equation, we get:
0.3x + 10 - 0.1x = 12
0.2x = 2
x = 10
Therefore, 10 gallons of the 30% solution was used.
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find the sum of the first 10 terms 40, 37, 34, 31
Firstly finding common difference of the series
As we know that
• Common difference ( d ) = t₂ - t₁
→ Common difference = 37 - 40
→ Common difference = - 3
Now, as we know that
• Sn ( Sum of n terms ) = n/2 [ 2a + ( n - 1 ) d ]
Substituting n = 1. Since the sum of no. of terms is 10 . And substituting a = 40 ,since first term is 40
=> S₁₀ = 10/2 [ 2(40) + ( 10 - 1 ) -3 ]
=> S₁₀ = 5 [ 80 - 27 ]
=> S₁₀ = 5 × 53
=> S₁₀ = 265
Hence , sum of first 10 terms ( S₁₀ ) = 265
a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 2% margin of error at a 90% confidence level, what size of sample is needed?
Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.
As given in the question,
Margin of error = 2%
= 0.02
Sample proportion 'p' = 0.5
⇒ (1 - p) = 1 - 0.5
= 0.5
Let 'n' represents the sample size
Z- value at confidence interval 90% = 1.645
Formula used
Margin of error = z-value √ [p( 1-p)/n]
Substitute the value we get,
0.02 = 1.645 √ (0.5)(0.5)/n
Squaring on both the side
0.0004 = 2.706025 ( 0.25/n)
⇒ n = ( 2.706025 × 0.25 )/ 0.0004
⇒ n = 1691.26
⇒ n ≈ 1691
Therefore, size of sample needed with given margin of error is equal to 1691.
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You need to score a 90 or higher on your next test to make the honor roll. If x represents the score on your next test, which inequality represents the situation?
x > 90
x< 90
x ≥ 90
x ≤ 90
Answer:
x ≥ 90
Step-by-step explanation:
it says 90 or higher which also means "at least 90", which means greater than or equal to 90.
every week the average number of wrong-number phone calls received by a certain mail-order house is seven. what is the probability that they will receive (a) two wrong calls tomorrow; (b) at least one wrong call tomorrow?
Therefore,\(P(X ≥ 1) = 1 - (e^-7 * 7^0) / 0!P(X ≥ 1) ≈ 0.9993\)The probability that they will receive (b) at least one wrong call tomorrow is approximately 0.9993.
As every week the average number of wrong-number phone calls received by a certain mail-order house is seven. Therefore, the mean of the number of wrong-number phone calls received per week = μ = 7.
Using the Poisson distribution formula, the probability that they will receive (a) two wrong calls tomorrow:
\(P(X = 2) = (e^-μ * μ^x) / x\)!Where x = 2, μ = 7
Therefore,\(P(X = 2) = (e^-7 * 7^2) / 2!≈ 0.0972\) The probability that they will receive (a) two wrong calls tomorrow is 0.0972.Using the Poisson distribution formula, the probability that they will receive (b) at least one wrong call tomorrow\(:P(X ≥ 1) = 1 - P(X = 0) = 1 - (e^-μ * μ^x) / x!\)
Where x = 0, μ = 7
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The price of a gallon of unleaded gas was $2.79 yesterday. Today, the price rose to $2.85 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
90 cents
Step-by-step explanation:
$2.70
$2.85
______
.94 round to the nearest teeth percent is 90
Out of a random sample of 330 apples, 25 are rated "AAA." Estimate the number of apples that would be rated "AAA" in a crop of 50,000 apples.
Answer:
3750 apples
Step-by-step explanation:
Prob (Apple AAA rating) = AAA rated apples / Total Apples
25 / 330 = 0.075
Expected apples rated AAA from 50000 apples = P(AAA rating) x Apples no.
0.075 x 50000
3750
Suppose 75% of smartphones sold at a retail outlet are purchased with warranty. A random sample of 25 smartphones is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 18 are purchased with warranty? b) exactly 8 are not purchased with warranty? c) all of them are purchased with warranty? d) at most 15 are purchased with warranty? e) at least 14 are purchased with warranty? f) more than half are purchased with warranty? 9) at least 14 but no more than 23 are purchased with warranty? h) less than 12 or more than 19 are purchased with warranty? 2. Calculate the mean and standard deviation of smartphones that are purchased with warranty. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 72 smartphones that are purchased with warranty, how large a sample should you select? Report the minimum sample size required as an integer.
The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is: The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:
The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:
h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation = Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N
= 337.11
Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.
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Is the given value a solution of the inequality?
z + 2> -4; z+ -8
.
Step-by-step explanation:
What is 2/3 times 2? I need it for algebra 1
Answer:
1.3333
Step-by-step explanation:
pls mark brainliest
in testing for differences between the means of two independent populations, what is the null hypothesis?≠μ
a. h0:μ2-μ2≠0
b.h0:μ1-μ2=0
c.h0:μ1-μ2>0
d.h0:μ1-μ2<0
In testing for differences between the means of two independent populations, the correct null hypothesis option is option (b) h0:μ1-μ2=0
When testing for differences between the means of two independent populations, the null hypothesis is usually stated as:
h0: μ1 - μ2 = 0
This means that there is no significant difference between the means of the two populations. The alternative hypothesis (ha) is usually stated as:
ha: μ1 - μ2 ≠ 0
This means that there is a significant difference between the means of the two populations.
To test this hypothesis, we can use a t-test or a z-test depending on whether we know the population standard deviation or not. We calculate the test statistic and compare it to the critical value from the t-distribution or z-distribution with n1 + n2 - 2 degrees of freedom and a significance level α.
If the test statistic is greater than or less than the critical value, we reject the null hypothesis and conclude that there is a significant difference between the means of the two populations.
In summary, the null hypothesis when testing for differences between the means of two independent populations is that there is no significant difference between them.
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How much should Jenna save up to prepare for car repairs and maintenance? (A lump sum emergency fund just for car repair/maintenance that may come up in the future)
Answer:
$500 per year.
Step-by-step explanation:
Car repairs and maintenance expense is based on the usage of car as well as its present condition. If the car is bought from showroom and is new then it will incur only small amount of expense as its maintenance but if the car is used by various owners then it is likely that maintenance expense can be huge. The average car repair expense is $500 to $800 per year depending on car condition. Since Jenna car is new she should keep the repair estimate to be minimum that is nearly $500 per year or $42 per month.
Using simplex method to solve the following problems: (Manual calculations and then confirm your calculation by any software) Max. Z=5A+4B Subject to constraints: 6 A+4 B≤24, A+2 B≤6,−A+B≤1, B≤2, A, B≥0
Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.
To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------
Z | -5 | -4 | 0 | 0 | 0 | 0 | 0
------------------------------------------
S1 | 6 | 4 | 1 | 0 | 0 | 0 | 24
S2 | 1 | 2 | 0 | 1 | 0 | 0 | 6
S3 | -1 | 1 | 0 | 0 | 1 | 0 | 1
S4 | 0 | 1 | 0 | 0 | 0 | 1 | 2
We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------------------
Z | 0 | 1.8 | 0.2 | -1 | -0.4 | 0.4 | 19.2
------------------------------------------------------
S1 | 0 | 0 | 0 | 1.5 | -1 | 1 | 3
S2 | 1 | 0 | -0.5 | 0.5 | 0.5 | -0.5 | 1.5
A | 1 | 0 | 0.5 | -0.5 | -0.5 | 0.5 | 0.5
S4 | 0 | 0 | 1 | -1 | -1 | 1 | 1
From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.
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2. Let A and B be invertible 5 x 5 matrices with det. A = 3 and det B = 8. Calculate: (a) det(A? B-) (b) det (24).
(a) The determinant of A inverse multiplied by B inverse is 3/8. (b) The determinant of 24 is 24 to the power of 5.
(a) We know that det(A) × det(A inverse) = 1, and similarly for B. So, det(A inverse) = 1/3 and det(B inverse) = 1/8.
Using the fact that the determinant of a product is the product of the determinants, we have det(A inverse × B inverse) = det(A inverse) × det(B inverse) = 1/3 × 1/8 = 1/24.
Therefore, det(A × B inverse) = 1/det(A inverse × B inverse) = 24/1 = 24.
(b) The determinant of a scalar multiple of a matrix is the scalar raised to the power of the dimension of the matrix.
Since 24 is a scalar and we are dealing with a 5 x 5 matrix, the determinant of 24 is 24 to the power of 5, or 24⁵.
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n a clinical study, 3200 healthy subjects aged 18-49 were vaccinated with a vaccine against a seasonal illness. Over a period of roughly 28 weeks,16 of these subjects developed the illness. Complete parts a through e below.
a. Find the point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness.
The point estimate is
enter your response here
The point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness is 0.5%.
In a clinical study, 3200 healthy subjects aged 18-49 were vaccinated with a vaccine against a seasonal illness. Over a period of roughly 28 weeks,16 of these subjects developed the illness.
We have to find the point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness.
Point estimate:
The point estimate is a single value that is used to estimate the population parameter.
In this problem, the population parameter we want to estimate is the proportion of all people aged 18-49 who were vaccinated with the vaccine but still developed the illness.
The sample size is 3200 and 16 developed the illness. Therefore, the point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness is 16/3200 or 0.005 or 0.5%.
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Jada and Noah went to dinner. They added up the prices listed on the menu for everything they ordered and got a subtotal of $54. When they got their check, Noah realized that the tax was not figured in. If the tax rate is 7.5%, what is their new total?
Answer:
$58.05
Step-by-step explanation:
\( \frac{7.5}{100} \times 54 = 4.05\)
\(54 + 4.05 = 58.05\)
i think this is the answer
Answer:
$58.05
Step-by-step explanation:
50 pts!
If f(x) = 2x2 + 3, find f(3).
Answer:
probly f(x) = 7
Step-by-step explanation:
dk if I’m wrong
Answer:
x = 7
Step-by-step explanation:
Use the contingency table to the right to determine the probability of events. a. What is the probability of event A? b. What is the probability of event A'? c. What is the probability of event A and B? d. What is the probability of event A or B? A A B 90 30 В' 60 70
The probability of event A' is 0.417
The probability of event A and B is 0.208
The probability of event A or B is 0.875
What is the probability of event A'?The contigency table is given as
B B'
A 50 90
A' 70 30
So, we have
P(A') = (70 + 30)/(50 + 90 + 70 + 30)
Evaluate
P(A') = 0.417
What is the probability of event A and B?From the table, we have
A and B = 50
So, we have
P(A and B) = (50)/(50 + 90 + 70 + 30)
Evaluate
P(A and B) = 0.208
What is the probability of event A or B?Here, we have
A or B = 50 + 90 + 50 + 70 - 50
A or B = 210
So, we have
P(A or B) = (210)/(50 + 90 + 70 + 30)
Evaluate
P(A or B) = 0.875
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HELP WHATS THE AREA ASAP
Assume you had a random sample of 50 graduate students' GRE scores and you calculated a mean score of 300 with a standard deviation of 47. Using a confidence level of 95%, calculate and interpret every aspect of the confidence level. 5 Possible Points of Extra Credit Mean = 300 SD = 47 Sample Size (n) = 50 Degree of Freedom = n-1 = 50-1 = 49 CI = 95% Margin of Error: Upper Bound: Lower Bound: Interpretation (hint: if we were to randomly sample from this population 100 times, what is the probability the sample mean GRE scores will fall between the upper and lower bounds?):
Using a confidence level of 95%, the margin of error for the mean GRE score of graduate students is approximately 14.15. The upper bound of the confidence interval is 314.15, and the lower bound is 285.85. This means we are 95% confident that the true population mean GRE score falls between these two values.
To calculate the margin of error, we use the formula:
Margin of Error = Z * (Standard Deviation / √n)
In this case, the standard deviation is 47 and the sample size (n) is 50. The Z-value for a 95% confidence level is approximately 1.96. Plugging in these values, we get:
Margin of Error = 1.96 * (47 / √50) ≈ 14.15
This means that the sample mean of 300 is expected to be within 14.15 points of the true population mean GRE score.
The confidence interval is then constructed by adding and subtracting the margin of error from the sample mean:
Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)
= (300 - 14.15, 300 + 14.15) = (285.85, 314.15)
Interpreting the confidence interval, we can say that we are 95% confident that the true population mean GRE score for graduate students falls within the range of 285.85 to 314.15. This means that if we were to repeat the sampling process and calculate the sample mean GRE scores multiple times, approximately 95% of the confidence intervals obtained would contain the true population mean.
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Describe how to solve an absolute value equation
*will give brainliest*
Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Step-by-step explanation:
Answer:
Rewrite the absolute value equation as two separate equations, one positive and the other negative
Solve each equation separately
After solving, substitute your answers back into original equation to verify that you solutions are valid
Write out the final solution or graph it as needed
Step-by-step explanation:
How can i show that p^(q-1) + q^(p-1) = 1 (mod pq)?
Step-by-step explanation:
you can just put in some values to check.
I actually used p =2 and q=3
the It will be
2^3-1 + 3^2-1 = 1 (mod 2×3)
2^2 +3^1 = 1 (mod 6)
4+3= 1 (mod6)
7= 1 (mod6)
which is true.
therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true
To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.
Therefore, we can write:
p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)
By the Chinese Remainder Theorem, we can combine these two equations to obtain:
p^(q-1) + q^(p-1) = 1 (mod pq)
Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).
Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)
Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)
Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))
Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)
In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)
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a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)
Answer:
350 millilitres
Step-by-step explanation:
70/100×500=350
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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Which point would be a solution to the system of linear inequalities shown below?
y>-4x+6 Y>1/3x -7
(9,-7)
(-12,-2)
(12, 1)
(-12,-7)
The point (9, -7) is the only solution to the system of linear inequalities given.
To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.
The system of linear inequalities is:
y > -4x + 6
y > (1/3)x - 7
Let's test each given point:
For the point (9, -7):
Substituting the values into the inequalities:
-7 > -4(9) + 6
-7 > -36 + 6
-7 > -30 (True)
-7 > (1/3)(9) - 7
-7 > 3 - 7
-7 > -4 (True)
Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.
For the point (-12, -2):
Substituting the values into the inequalities:
-2 > -4(-12) + 6
-2 > 48 + 6
-2 > 54 (False)
-2 > (1/3)(-12) - 7
-2 > -4 - 7
-2 > -11 (False)
Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.
For the point (12, 1):
Substituting the values into the inequalities:
1 > -4(12) + 6
1 > -48 + 6
1 > -42 (True)
1 > (1/3)(12) - 7
1 > 4 - 7
1 > -3 (True)
Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.
For the point (-12, -7):
Substituting the values into the inequalities:
-7 > -4(-12) + 6
-7 > 48 + 6
-7 > 54 (False)
-7 > (1/3)(-12) - 7
-7 > -4 - 7
-7 > -11 (True)
Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.
In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.
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Write the inverse function for the function, f(x)=x+4.
f-¹(x) =
f-¹(4)=
Answer:
lets do it.
f-¹(X) = 1/X+4
f -¹(4) = 1/4+4
= 1/8